Which of the following definite integrals represents the area of the shaded region? A. S²x² dx B. ²x² dx C. fx² dx D. S²x² 3 2+ 1+ سا y = x² -- 2 w. 3 X

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: Given f(x) = 2x³ + 4, use a table to estimate the slope of the tangent line to f at the point P(-3,…

A: fx=2x3+4, tangent line to f at the point P-3,-50

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Q: If it was f(x, y) = ln(xy) + tan(xy) so Fxy fxy = sec(xy) (2y tan(xy) + 1) - A fxy = sec (xy) (2x…

A: Solution

Q: State the order of the given ordinary differential equation. t8y(6) t5y" + 3y = 0 Determine whether…

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Q: Q3/ Determine the particular solution of the equation 4-3=9 given the boundary conditions the dx x =…

A: Given differential equation d2ydx2-3 dydx=9at x=0 , y=0 and  dydx=0

Q: 12) B 60° Х с 11 ZA

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Q: Which of the following is a graph of F = (1, 0, 0)? O

A: To find out the correct option.

Q: Write an equation (any form) for the quadratic graphed below 15 3 2 1 5 -4 -3 -2 -1 2 3 4/5 -1 -2 -3…

A: We have to find out graph

Q: The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time…

A: Given problem:- The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount…

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Q: 6. Find the derivative of y= 2x² (3x - 4). A. 6x³ - 8x² B. 18x² - 16x 7. Find the derivative: f(x) =…

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Q: Determine the following limits. You are not required to use the definition, but you must justify…

A: We have to solve given Questions.

Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

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Q: (a) Given the curve of y=x(x+3)(x − 2)(x-5) 10 i) Sketch the graph for -4<x<6 6 +1

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Q: A carpenter chisels a square hole of side 2 in. through a round post of radius 2 in., the axis of…

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Q: (x - 2)² + (y + 2)² = 8 The polar equation of the Cartesian equation r = 4r cos 0 - 4r sin 0 - A r =…

A: We need to find polar equation.

Q: the same system solve in many ways the values are different. true or false? True False

A: Let's solve.

Q: A dragster races down a 400 m strip in 8 s. Its distance, in metres, from the starting line after t…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: sin't 3 x cos x dx 500 х 415

A: ∫sin6xcos3xdx=∫1-sin2xcosxsin6xdxLet u=sinx.=∫ u61-u2du=∫ u6-u8du=∫ u6du-∫…

Q: B: Solve the following differential equation by Laplace: d² y + 2x + 5y = e-¹ sint et dx² dx ,y(0) =…

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Q: f SECAdX 11 TAN ² x + C

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Q: A sector of a circle has a central angle of 120°. Find the area of the sector if the radius of the…

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Q: (k) y dx + x dy = 0 separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

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Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

Q: If the rate of change of R is inversely proportional to R(x) where R > 0, and if R(1) = 35, and R(4)…

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Q: if the birth rate of a population is b(t)=2200+52.3t+0.74t^2 people per year and the death rate is…

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Q: Find dy/dx using implicit differentiation a. tan y=x+y b. cos x=x(1+cot y)

A: For (a),     tany=x+yDifferentiating both sides we get,⇒sec2y y'=1+y'⇒dydx=1sec2y-1

Q: 3. [ (sec²(a) — csc²(a) + π) da

A: We will use formulas of integration to solve it

Q: B: Solve the following differential equation by Laplace: d²y + 2 + 5y = et sint dx €13 ,y(0) = 0,…

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Q: A town's population has been growing linearly. In 2003, the population was 48000, and the population…

A: This question is related to linear function, we will solve it using given information.

Q: If it was 3 A = [ ²³₁ 4 So [20 0 8 A² = 11₁3 - A 51 41 A² = [¹64] - B 9 -C 20 A² = [13 A² = [16 9 5]…

A: To find the square of the given matrix.

Q: (A) Evaluate Sin (3x) Sin (3x) dx

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Q: Find values of a, b, and c such that the graph of the polynomial p (x) = ax²+bx+c passes through the…

A: p(x) = ax2+bx+c passes through point (1,7) , (-1,13) and (2,7). So, Form three equation using, p(1)…

Q: Determine whether the series converges using the Ratio test. The series IM8 k= &

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Q: (c) (x + 1) = -y + 5 dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli…

A: we have to identify which type of given differential equation is

Q: A graph of a function g(x) is shown below. It is a transformation of f(x)=2¹. 10+ 9. 8- ++ -2- a.…

A: Given: For (a), The above function is the shift by the 3 units and reflection about the y-axis of…

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: y 3. y' = 3x² - y(1) = 5

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Q: Find the zeros of f (x) = x^(4)-4x^(3)-12x^(2) pre caluclus

A: We have to determine the zeros

Q: whether the internal is convergent on Determine divergent Evaluate it convergent. 1 dx 3-SX

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Q: Find the displacement of an object on the interval 2 ≤ t ≤ 5 if its velocity is shown. V(Đ m 3 1 5 7…

A: Given: A graph of velocity-time.

Q: Find the arclength of a parametric curve given below for 0 ≤ t ≤ π (x(t) = 3 cos t (y(t) = 3 sin t

A: Find the arc length of given parametric curve

Q: Question: 2 Find the absolute maximum and minimum values of function f(x) = 3x - 2 - 2x over the…

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Q: Which of these series converges? Α.Σ2 k=1 ∞ k Β.Σ 20K-3 1 C. √√k k=1 3 Dak√k Ο.Σ.

A: See the details solution in below

Q: and the given initial conditions. y(-1) = 9, y'(-1) = -9

A: Given problem:- In this problem, y = c1 ex +c2 e-x is a two-parameter family of solutions of the…

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A: This is a problem related to permutation and combination. Based on the general definition of both we…

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